Popular >

Matmat is playing a card game together with his friends as their activity during their leisure time. He was stuck in a win or lose situation. When he draws a card from the standard deck of cards, what is the probability of getting an odd number that is less than 10, but greater than 3 or a black?

Solution

Solution

\frac{1}{2}

Solution steps

Find the probability of getting odd 10 3 :

0

Find the probability of a black:

\frac{1}{2}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= 0 + \frac{1}{2}

Apply rule:

a + 0 = a

= \frac{1}{2}

Popular Examples

Lauren's age is half of Joe's age. Emma is four years older than Joe. The sum of Lauren, Emma, and:Joe's age is 34. How old is Joe?Hakeem is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Hakeem need to invest, to the nearest hundred dollars, for the value of the account to reach 3,700 in 15 years?The diameter of a circle is 5 ft. Find its area to the nearest tenth.the sum of 3 consecutive integers is 63. Find the smallest integer Henry invested 59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?